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Finding the Third Proportional to 269,111 and 634,370

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Solution

The third proportional to 269,111 and 634,370 is: 1,495,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,111 : 634,370 = 634,370 : x
  2. Step 2: Convert to fraction form
    269,111/634,370 = 634,370/x
  3. Step 3: Cross multiply
    269,111x = 634,370 × 634,370
  4. Step 4: Simplify right side
    269,111x = 402,425,296,900
  5. Step 5: Solve for x
    x = 402,425,296,900/269,111
  6. Step 6: Final answer
    x = 1,495,387.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.